0/0 = ???

Well I can prove it.

[sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]

fancy math and I get 1/4 when x = 0. (With limits of course)

another example (tanx)/(ln(1+x))...more fancy math, I get 1. Clearly, 0/0 is not equal to 1/4 or 1. But there's evidence that it is. This is known as indeterminate.

zero. If you take 0 parts of 0, you still have 0.

Well I can prove it.

[sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]

fancy math and I get 1/4 when x = 0. (With limits of course)

another example (tanx)/(ln(1+x))...more fancy math, I get 1. Clearly, 0/0 is not equal to 1/4 or 1. But there's evidence that it is. This is known as indeterminate.

Quote from: LaserEyess on March 10, 2010, 06:17:59 PM

Well I can prove it.

[sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]

fancy math and I get 1/4 when x = 0. (With limits of course)

another example (tanx)/(ln(1+x))...more fancy math, I get 1. Clearly, 0/0 is not equal to 1/4 or 1. But there's evidence that it is. This is known as indeterminate.

You lost me at square bracket. This is why I hate maths.

Quote from: 2fst4u on March 10, 2010, 06:25:40 PM

Quote from: LaserEyess on March 10, 2010, 06:17:59 PM

Well I can prove it.

[sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]

fancy math and I get 1/4 when x = 0. (With limits of course)

another example (tanx)/(ln(1+x))...more fancy math, I get 1. Clearly, 0/0 is not equal to 1/4 or 1. But there's evidence that it is. This is known as indeterminate.

You lost me at square bracket. This is why I hate maths.

That was just a fancy way to use parenthesis when inside there are more parenthesis.
So [sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]
could be (sin(2x) - 2sin(x))/(sin(3x) - 3sin(x))

just looks a bit sloppier in opinion.

Quote from: EnglshGentleman on March 10, 2010, 06:27:35 PM

Quote from: 2fst4u on March 10, 2010, 06:25:40 PM

Quote from: LaserEyess on March 10, 2010, 06:17:59 PM

Well I can prove it.

[sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]

fancy math and I get 1/4 when x = 0. (With limits of course)

another example (tanx)/(ln(1+x))...more fancy math, I get 1. Clearly, 0/0 is not equal to 1/4 or 1. But there's evidence that it is. This is known as indeterminate.

You lost me at square bracket. This is why I hate maths.

That was just a fancy way to use parenthesis when inside there are more parenthesis.
So [sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]
could be (sin(2x) - 2sin(x))/(sin(3x) - 3sin(x))

just looks a bit sloppier in opinion.

That's not what I meant. I meant everything after that was too hard. Not just the square bracket.

More context please.

Quote from: Ichimaru Gin :] on March 10, 2010, 05:12:16 PM

More context please.

Quote from: Ichimaru Gin :] on March 10, 2010, 06:34:36 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 05:12:16 PM

More context please.

It is your Junior year in highschool; Second Hour. You walk in begrudgingly and sit down, and slowly prepare for your Calculus class. I walk to the front and take attendance. You note that the guy next to you is absent, the cause most likely being an overdose from his heroin addiction. I explain to the class to start taking notes. A grab a black dry-erase marker and write on the board "0/0 =" and turn around to the class. I ask the class what it is. You raise your hand slowly and I call on you. You answer....

My answer would be "We need to have more context"

Quote from: Ichimaru Gin :] on March 10, 2010, 06:45:02 PM

My answer would be "We need to have more context"

I answer by throwing a chair and ask you to remove yourself from the classroom for questioning my authority. You pause, but then slowly work your way out of your classroom, my eyes bore a deep hole into your head. Upon entering detention you notice there is only one other individual in the room, so you sit next to him. He turns around and says,"HAEY MAN! WHAT DID YOU SMOKE DO TO GEET HEARE!?" You sit for a beat, shocked at this individuals vocal illiteracy. You respond calmly, "I asked my teacher for more context." He replies, "WAT DOE YOUS MEAN BY THATT?!?!!" You wince as his spittle lands on your face. You collect yourself, and tell him...

Quote from: EnglshGentleman on March 10, 2010, 06:51:20 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:45:02 PM

My answer would be "We need to have more context"

I answer by throwing a chair and ask you to remove yourself from the classroom for questioning my authority. You pause, but then slowly work your way out of your classroom, my eyes bore a deep hole into your head. Upon entering detention you notice there is only one other individual in the room, so you sit next to him. He turns around and says,"HAEY MAN! WHAT DID YOU SMOKE DO TO GEET HEARE!?" You sit for a beat, shocked at this individuals vocal illiteracy. You respond calmly, "I asked my teacher for more context." He replies, "WAT DOE YOUS MEAN BY THATT?!?!!" You wince as his spittle lands on your face. You collect yourself, and tell him...

My teacher said "what does 0/0 =?" so I asked for more context.

Quote from: Ichimaru Gin :] on March 10, 2010, 06:53:01 PM

Quote from: EnglshGentleman on March 10, 2010, 06:51:20 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:45:02 PM

My answer would be "We need to have more context"

I answer by throwing a chair and ask you to remove yourself from the classroom for questioning my authority. You pause, but then slowly work your way out of your classroom, my eyes bore a deep hole into your head. Upon entering detention you notice there is only one other individual in the room, so you sit next to him. He turns around and says,"HAEY MAN! WHAT DID YOU SMOKE DO TO GEET HEARE!?" You sit for a beat, shocked at this individuals vocal illiteracy. You respond calmly, "I asked my teacher for more context." He replies, "WAT DOE YOUS MEAN BY THATT?!?!!" You wince as his spittle lands on your face. You collect yourself, and tell him...

My teacher said "what does 0/0 =?" so I asked for more context.

You can almost see the question marks appear above his head by his dazed expression. He finally barks, "WHATT CONTEXT YOU SPEAK UF?" You respond in a snotty rhetoric way to force the plot line to move further...

Quote from: EnglshGentleman on March 10, 2010, 06:59:22 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:53:01 PM

Quote from: EnglshGentleman on March 10, 2010, 06:51:20 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:45:02 PM

My answer would be "We need to have more context"

I answer by throwing a chair and ask you to remove yourself from the classroom for questioning my authority. You pause, but then slowly work your way out of your classroom, my eyes bore a deep hole into your head. Upon entering detention you notice there is only one other individual in the room, so you sit next to him. He turns around and says,"HAEY MAN! WHAT DID YOU SMOKE DO TO GEET HEARE!?" You sit for a beat, shocked at this individuals vocal illiteracy. You respond calmly, "I asked my teacher for more context." He replies, "WAT DOE YOUS MEAN BY THATT?!?!!" You wince as his spittle lands on your face. You collect yourself, and tell him...

My teacher said "what does 0/0 =?" so I asked for more context.

You can almost see the question marks appear above his head by his dazed expression. He finally barks, "WHATT CONTEXT YOU SPEAK UF?" You respond in a snotty rhetoric way to force the plot line to move further...

I say "a mathematical context."

Quote from: Ichimaru Gin :] on March 10, 2010, 07:01:11 PM

Quote from: EnglshGentleman on March 10, 2010, 06:59:22 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:53:01 PM

Quote from: EnglshGentleman on March 10, 2010, 06:51:20 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:45:02 PM

My answer would be "We need to have more context"

I answer by throwing a chair and ask you to remove yourself from the classroom for questioning my authority. You pause, but then slowly work your way out of your classroom, my eyes bore a deep hole into your head. Upon entering detention you notice there is only one other individual in the room, so you sit next to him. He turns around and says,"HAEY MAN! WHAT DID YOU SMOKE DO TO GEET HEARE!?" You sit for a beat, shocked at this individuals vocal illiteracy. You respond calmly, "I asked my teacher for more context." He replies, "WAT DOE YOUS MEAN BY THATT?!?!!" You wince as his spittle lands on your face. You collect yourself, and tell him...

My teacher said "what does 0/0 =?" so I asked for more context.

You can almost see the question marks appear above his head by his dazed expression. He finally barks, "WHATT CONTEXT YOU SPEAK UF?" You respond in a snotty rhetoric way to force the plot line to move further...

I say "a mathematical context."

The fiendish man finally snaps and tackles you, punching you in the left temple and biting a piece of your right nostril out. He continues to pummel you until security comes and puts a bullet through his head finds a way to calm him down. Upon questioning you, you explain to them everything that happened. At the end, the security guard says to you, "As a side note, you give me an example of a mathematical context, because I don't quite follow you." Gladly, you tell him...

Quote from: EnglshGentleman on March 10, 2010, 07:11:56 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 07:01:11 PM

Quote from: EnglshGentleman on March 10, 2010, 06:59:22 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:53:01 PM

Quote from: EnglshGentleman on March 10, 2010, 06:51:20 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:45:02 PM

My answer would be "We need to have more context"

I answer by throwing a chair and ask you to remove yourself from the classroom for questioning my authority. You pause, but then slowly work your way out of your classroom, my eyes bore a deep hole into your head. Upon entering detention you notice there is only one other individual in the room, so you sit next to him. He turns around and says,"HAEY MAN! WHAT DID YOU SMOKE DO TO GEET HEARE!?" You sit for a beat, shocked at this individuals vocal illiteracy. You respond calmly, "I asked my teacher for more context." He replies, "WAT DOE YOUS MEAN BY THATT?!?!!" You wince as his spittle lands on your face. You collect yourself, and tell him...

My teacher said "what does 0/0 =?" so I asked for more context.

You can almost see the question marks appear above his head by his dazed expression. He finally barks, "WHATT CONTEXT YOU SPEAK UF?" You respond in a snotty rhetoric way to force the plot line to move further...

I say "a mathematical context."

The fiendish man finally snaps and tackles you, punching you in the left temple and biting a piece of your right nostril out. He continues to pummel you until security comes and puts a bullet through his head finds a way to calm him down. Upon questioning you, you explain to them everything that happened. At the end, the security guard says to you, "As a side note, you give me an example of a mathematical context, because I don't quite follow you." Gladly, you tell him...

"Don't quit your day job"

Quote from: Ichimaru Gin :] on March 10, 2010, 07:19:06 PM

Quote from: EnglshGentleman on March 10, 2010, 07:11:56 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 07:01:11 PM

Quote from: EnglshGentleman on March 10, 2010, 06:59:22 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:53:01 PM

Quote from: EnglshGentleman on March 10, 2010, 06:51:20 PM

Quote from: Ichimaru Gin :] on March 10, 2010, 06:45:02 PM

My answer would be "We need to have more context"

I answer by throwing a chair and ask you to remove yourself from the classroom for questioning my authority. You pause, but then slowly work your way out of your classroom, my eyes bore a deep hole into your head. Upon entering detention you notice there is only one other individual in the room, so you sit next to him. He turns around and says,"HAEY MAN! WHAT DID YOU SMOKE DO TO GEET HEARE!?" You sit for a beat, shocked at this individuals vocal illiteracy. You respond calmly, "I asked my teacher for more context." He replies, "WAT DOE YOUS MEAN BY THATT?!?!!" You wince as his spittle lands on your face. You collect yourself, and tell him...

My teacher said "what does 0/0 =?" so I asked for more context.

You can almost see the question marks appear above his head by his dazed expression. He finally barks, "WHATT CONTEXT YOU SPEAK UF?" You respond in a snotty rhetoric way to force the plot line to move further...

I say "a mathematical context."

The fiendish man finally snaps and tackles you, punching you in the left temple and biting a piece of your right nostril out. He continues to pummel you until security comes and puts a bullet through his head finds a way to calm him down. Upon questioning you, you explain to them everything that happened. At the end, the security guard says to you, "As a side note, you give me an example of a mathematical context, because I don't quite follow you." Gladly, you tell him...

"Don't quit your day job"

The security guard rapidly puts a black sack over your head. You feel him lift you off the ground, and you immediately start counting his steps and note his orientation. Unfortunately, you do not count quietly enough and you feel a sharp knock on the back of your head. Sometime latter you rise from the stupor and find yourself in a sitting position on a cold metal chair. After a few seconds you realize there is a sharp pain emanating from both of your legs and you slowly look down. There are 2 feet long lug nuts going through your thighs attaching you to the chair. You scream in agony, and you feel another sharp blow to the head. You wake once again and see an unfamiliar man sitting across from you. He begins to speak, but you can not yet make out the words. He sounds English. He says with a menacing look on his face, "Give me the answer to "0/0= " in at least three different contexts. I promise you, it would be wise to do so. You cough out...

Well I can prove it.

[sin(2x) - 2sin(x)]/[sin(3x) - 3sin(x)]

fancy math and I get 1/4 when x = 0. (With limits of course)

another example (tanx)/(ln(1+x))...more fancy math, I get 1. Clearly, 0/0 is not equal to 1/4 or 1. But there's evidence that it is. This is known as indeterminate.

Correct. lim_x?0 f(x) ? f(0), because f(0) is undefined. lim_x?0 f(x) = 1/4 and 1 respectively. However that limit is evaluating 0/0.

So now I ask, do you have a more appropriate solution to the question?